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Find out the angle made by (hati+hatj) v...

Find out the angle made by `(hati+hatj)` vector from X and Y axes respectively.

Text Solution

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`cos alpha =(a_(x))/(a) and cos beta=(a_(y))/(a)`
here `a=sqrt(a_(x)^(2)+a_(y)^(2))=sqrt(1^(2)+1^(2))=sqrt(2)`


`cos alpha=(1)/(sqrt(2))`
or `alpha=45^(@)`
`cos beta= (1)/(sqrt(2))`
or `beta=45^(@)` i.e. `hati+hatj` is at bisector of X and Y axes.
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MOTION-VECTOR -Exercise - 3
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  6. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

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  7. A river is flowing from west to east with a speed of 5 m//min. A man c...

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  8. The vectors for origin to the points A and B are A=3hati-6hatj+2hatk a...

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  9. Minimum number of vectors of unequal magnitudes which can give zero re...

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  12. vecA and vecB are two vectors and theta is the angle between them, i...

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  13. A car travles 6km towards north at an angle of 45^(@) to the east and ...

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